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Simplifying -31 = -3(3k + 2) + 2 Reorder the terms: -31 = -3(2 + 3k) + 2 -31 = (2 * -3 + 3k * -3) + 2 -31 = (-6 + -9k) + 2 Reorder the terms: -31 = -6 + 2 + -9k Combine like terms: -6 + 2 = -4 -31 = -4 + -9k Solving -31 = -4 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -31 + 9k = -4 + -9k + 9k Combine like terms: -9k + 9k = 0 -31 + 9k = -4 + 0 -31 + 9k = -4 Add '31' to each side of the equation. -31 + 31 + 9k = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 9k = -4 + 31 9k = -4 + 31 Combine like terms: -4 + 31 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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